Re: Algebra

Its always difficult to find the factors, given the simplest form.a^3 - b^3 is (a-b)(a^2 + ab + b^2).If one of the factors is known, it becomes a bit easier.For lower degrees, by remembering some formulae, it can be done easily.Like a^2 - b^2 = (a+b) x (a-b),(a^3 + b^3) = (a+b) x (a^2 - ab + b^2) etc.When you are aksed to prove that the LHS is equal to the RHS,it is always better to start with lower degrees.

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